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1020631036327 = 7323314173353
BaseRepresentation
bin11101101101000100101…
…10011011000110100111
310121120102112100122211121
432312202112123012213
5113210223021130302
62100512121114411
7133511121445000
oct16664226330647
93546375318747
101020631036327
11363935680941
1214597b328a07
1375325617946
14375824741a7
151b837ad0e37
hexeda259b1a7

1020631036327 has 32 divisors (see below), whose sum is σ = 1282054348800. Its totient is φ = 809797222080.

The previous prime is 1020631036291. The next prime is 1020631036333. The reversal of 1020631036327 is 7236301360201.

It is not a de Polignac number, because 1020631036327 - 215 = 1020631003559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020631036292 and 1020631036301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020631036367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842118 + ... + 2331235.

It is an arithmetic number, because the mean of its divisors is an integer number (40064198400).

Almost surely, 21020631036327 is an apocalyptic number.

1020631036327 is a deficient number, since it is larger than the sum of its proper divisors (261423312473).

1020631036327 is an equidigital number, since it uses as much as digits as its factorization.

1020631036327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173428 (or 4173414 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

Adding to 1020631036327 its reverse (7236301360201), we get a palindrome (8256932396528).

The spelling of 1020631036327 in words is "one trillion, twenty billion, six hundred thirty-one million, thirty-six thousand, three hundred twenty-seven".

Divisors: 1 7 23 31 49 161 217 343 713 1127 1519 4991 7889 10633 34937 244559 4173353 29213471 95987119 129373943 204494297 671909833 905617601 1431460079 2975600689 4703368831 6339323207 20829204823 32923581817 44375262449 145804433761 1020631036327